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- W2156205794 abstract "In this paper, we first introduce $L^{sigma_1}$-$(log L)^{sigma_2}$ conditions satisfied by the variable kernels $Omega(x,z)$ for $0leqsigma_1leq1$ and $sigma_2geq0$. Under these new smoothness conditions, we will prove the boundedness properties of singular integral operators $T_{Omega}$, fractional integrals $T_{Omega,alpha}$ and parametric Marcinkiewicz integrals $mu^{rho}_{Omega}$ with variable kernels on the Hardy spaces $H^p(mathbb R^n)$ and weak Hardy spaces $WH^p(mathbb R^n)$. Moreover, by using the interpolation arguments, we can get some corresponding results for the above integral operators with variable kernels on Hardy--Lorentz spaces $H^{p,q}(mathbb R^n)$ for all $p<q<infty$." @default.
- W2156205794 created "2016-06-24" @default.
- W2156205794 creator A5069249287 @default.
- W2156205794 date "2010-10-05" @default.
- W2156205794 modified "2023-09-26" @default.
- W2156205794 title "Estimates of some integral operators with bounded variable kernels on the Hardy and weak Hardy spaces over $mathbb R^n$" @default.
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- W2156205794 doi "https://doi.org/10.48550/arxiv.1010.0862" @default.
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